{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wake Flow\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Wake_Flow.ipynb)\n",
    "\n",
    "\n",
    "This example shows the turbulence that forms behind a cyllinder on a 3D grid with uniformly stretched cells.\n",
    "We set a fluid inflow on the left side and add a cylinder to the domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install phiflow\n",
    "from phi.torch.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
    "from tqdm.notebook import trange"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\ProgramData\\Anaconda3\\envs\\phiflow2\\lib\\site-packages\\phiml\\math\\_shape.py:2048: RuntimeWarning: Stacking shapes with incompatible item names will result in item names being lost. For vector Got ('x', 'y') and ('x', 'z')\n",
      "  warnings.warn(f\"Stacking shapes with incompatible item names will result in item names being lost. For {name} Got {item_names[index]} and {items}\", RuntimeWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cylinder = geom.infinite_cylinder(x=20, y=50, radius=10, inf_dim='z')\n",
    "plot({\"Top view\": cylinder['x,y'], \"Side view\": cylinder['x,z']})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we define the simulation function and set the boundary conditions, resolution, and domain size.\n",
    "We then run the simulation for 200 time steps with $\\Delta t=1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def step(v, p, dt=1.):\n",
    "    v = advect.semi_lagrangian(v, v, dt)\n",
    "    return fluid.make_incompressible(v, cylinder, Solve(x0=p))\n",
    "\n",
    "boundary = {'x-': vec(x=2, y=0, z=0), 'x+': ZERO_GRADIENT, 'y': PERIODIC, 'z': PERIODIC}\n",
    "v0 = StaggeredGrid((8., 0, 0), boundary, x=128, y=64, z=8, bounds=Box(x=200, y=100, z=5))\n",
    "v0, p0 = fluid.make_incompressible(v0, cylinder, Solve('scipy-direct'))\n",
    "v_trj, p_trj = iterate(step, batch(time=200), v0, p0, range=trange)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at the vorticity of a z cross section over time!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"864\" height=\"360\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAIGZ0eXBNNFYgAAACAE00ViBpc29taXNvMmF2YzEAAAAIZnJlZQABe19tZGF0AAACrwYF//+r\n",
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       "Ry00IEFWQyBjb2RlYyAtIENvcHlsZWZ0IDIwMDMtMjAyMSAtIGh0dHA6Ly93d3cudmlkZW9sYW4u\n",
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x24ca3488880>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_trj_2d = v_trj[{'z': 4, 'vector': 'x,y'}]\n",
    "plot(v_trj_2d.time[100:].curl(), animate='time')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also visualize the velocity field using stream lines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(v_trj_2d.time[-1], cylinder['x,y'], overlay='args')"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
